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Lascap's Triangle, a complete analysis

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Lascap's Triangle, a complete analysis


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A play on the name Pascal â the Lascapâs Triangle is a popular and simple mathematical puzzle presented to high school students to solve. Following a few subtle clues it is possible to decipher the puzzle.
This complete analysis of Lascap`s Fractions or Lascap`s Triangle was done by Ms. Marie-Rose Huellas-Bruskiewicz, a family member, for her math term IB project. Her comnclusion is worth presenting in its entirety:The complexity of something as simple as a set of numbers presented symmetrically in a triangular pattern is amazing. Each statement that was encoded, could be decoded, and eventually, branches off into a web of interconnected, slightly more complex mathematical statements. This is experienced in the history of past mathematicians who have decoded numerous patterns over the years.

By inspection, I reasoned out that each fraction within Lacsap's triangle had not been reduced to it's simplest form, to keep the pattern apparent. Once I compared Pascal's triangle to Lacsap's fractions, I noticed many similarities and deduced a pattern.

In my family I have an uncle who does mathematics as a professional. My uncle explained to me the meaning of the term âby inspectionâ and taught me that âanything that can be encode, can be decoded if you work at the problem long enough.â


Language English
Collection pythagoraspublishing; additional_collections

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